Answer:
80
Step-by-step explanation:
Angles on a straight line sum to 180
65+35=100
180-100=80
angle r=80
The area of a trapezoid is the average of the bases times the height, mathematically:
A=h(b1+b2)/2, in this case:
A=3(1.25ft(12in/ft)+14)/2
A=3(29)/2
A=43.5 in^2
Where are the variables for the equation?
A slope of 1/2 means for every two units to the right we move up one.
We have to be careful here because the graphs don't always use the same scale for x and y.
The bottom left uses the same scale and does indeed go two units to the right for every unit up, so that one is the answer.
Answer: 1.4 seconds
<u>Step-by-step explanation:</u>
The equation is: h(t) = at² + v₀t + h₀ where
- a is the acceleration (in this case it is gravity)
- v₀ is the initial velocity
- h₀ is the initial height
Given:
- a = -9.81 (if it wasn't given in your textbook, you can look it up)
- v₀ = 12
- h₀ = 3
Since we are trying to find out when it lands on the ground, h(t) = 0
EQUATION: 0 = 9.81t² + 12t + 3
Use the quadratic equation to find the x-intercepts
a=-9.81, b=12, c=3
Note: Negative time (-0.2) is not valid